chore(deps): update dependency posthog-node to v5.8.1 (#692)

This PR contains the following updates:

| Package | Type | Update | Change | OpenSSF |
|---|---|---|---|---|
| [posthog-node](https://redirect.github.com/PostHog/posthog-js)
([source](https://redirect.github.com/PostHog/posthog-js/tree/HEAD/packages/node))
| dependencies | patch | [`5.8.0` ->
`5.8.1`](https://renovatebot.com/diffs/npm/posthog-node/5.8.0/5.8.1) |
[![OpenSSF
Scorecard](https://api.securityscorecards.dev/projects/github.com/PostHog/posthog-js/badge)](https://securityscorecards.dev/viewer/?uri=github.com/PostHog/posthog-js)
|

---

### Release Notes

<details>
<summary>PostHog/posthog-js (posthog-node)</summary>

###
[`v5.8.1`](https://redirect.github.com/PostHog/posthog-js/blob/HEAD/packages/node/CHANGELOG.md#581)

[Compare
Source](https://redirect.github.com/PostHog/posthog-js/compare/posthog-node@5.8.0...posthog-node@5.8.1)

##### Patch Changes

-
[#&#8203;2243](https://redirect.github.com/PostHog/posthog-js/pull/2243)
[`1981815`](https://redirect.github.com/PostHog/posthog-js/commit/19818159b7074098150bc79cfa2962761a14cb46)
Thanks [@&#8203;hpouillot](https://redirect.github.com/hpouillot)! - -
fix error handling on process crash
  - fix exception flushing
- Updated dependencies
\[[`1981815`](https://redirect.github.com/PostHog/posthog-js/commit/19818159b7074098150bc79cfa2962761a14cb46)]:
-
[@&#8203;posthog/core](https://redirect.github.com/posthog/core)@&#8203;1.0.2

</details>

---

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bun.lock

@@ -40,7 +40,7 @@
     "lucide-react": "0.542.0",
     "next": "15.5.2",
     "posthog-js": "1.261.0",
-    "posthog-node": "5.8.0",
+    "posthog-node": "5.8.1",
     "prettier": "3.6.2",
     "react": "19.1.1",
     "react-dom": "19.1.1",